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Finding the Fourth Proportional to 34,652.98, 51,728.80 and 30,449.20

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Solution

The fourth proportional to 34,652.98, 51,728.80 and 30,449.20 is: 45,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.98 : 51,728.80 = 30,449.20 : x
  2. Step 2: Convert to fraction form
    34,652.98/51,728.80 = 30,449.20/x
  3. Step 3: Cross multiply
    34,652.98x = 51,728.80 × 30,449.20
  4. Step 4: Simplify right side
    34,652.98x = 1,575,100,576.96
  5. Step 5: Solve for x
    x = 1,575,100,576.96/34,652.98
  6. Step 6: Final answer
    x = 45,453.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.